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4 March, 08:50

Which equation Can pair with x-y=-2 to create a consistent and dependent system

A) 6x+2y=15

B) - 3x+3y=6

C) - 8x-3y=2

D) 4x-4y=6

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Answers (1)
  1. 4 March, 09:01
    0
    Given linear equation in standard form x-y=-2.

    Let us convert it in slope-intercept form first.

    x-y = -2.

    Subtracting x from both sides

    x-x-y = - 2-x

    -y = - x-2.

    Dividing both sides by - 1, we get

    y = x+2.

    We can write it as y=1x+2.

    Let us compare it with slope-intercept form y=mx+b.

    On comparing, we get slope m = 1 and y-intercept b=2.

    Let us check option - 3x+3y=6.

    Let us check it by converting in slope-intercept form.

    Adding 3x on both sides we get

    -3x+3x+3y=6+3x

    3y = 3x + 6.

    Dividing both sides each term by 3.

    3y/3 = 3x/3 + 6/3.

    y = 1x + 2.

    On comparing with slope-intercept form y=mx+b.

    We got slope m=1 and y-intercept = 2.

    So, the equation in option B) - 3x+3y=6 create a consistent and dependent system with x-y=-2.
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